The purpose of this monograph is to show that sufficient achievements in scaling applications have been made to justify serious study of scaling methodologies, particularly multidimensional scaling (MDS) as a tool for geographers. To be useful research, it was felt that the common methodological and technical problems that specialized researchers…

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

Research employed two types of redundancy, each having two levels, at each stage of a programed sequence of non-verbal concept learning tasks. One type involved amount of variation and repetition of exemplars; the other, strength of feedback. A researcher presented tasks to 4th, 5th, and 6th graders, simulating a computer graphic display. The…

A three unit mathematics course entitled Introduction to Computing evaluated the effectiveness of programing as an aid to learning math concepts and to developing student self-reliance. Sixteen students enrolled in the course at the College of Notre Dame in Belmont, California; one terminal was available, connected to the Stanford Computation…

The purpose of this study was to determine if selected mental, mathematical, reading, and personality assessments of sixth-grade pupils could predict high achievers in mathematical verbal problem solving. The subjects were 112 sixth graders, 56 classified as high achievers in mathematical verbal problem solving and 56 classified as low achievers…

A differential instructional program was developed for each of three mathematics aptitude item formats to determine the relative susceptibility of each to special instruction. High school juniors were given a pretest that included items of each format and a parallel form as a posttest several weeks later. Between the pre- and posttests,…

Abstracts of 36 research reports are provided. The reports were prepared by investigators for presentation at the 55th annual meeting of the National Council of Teachers of Mathematics. A broad range of topics related to mathematics education is covered. Nine reports deal with problem solving, eight are concerned with instructional methods, five…

Argues that first-year algebra should be taught in eighth grade. Outlines an algebra course that could provide average students with a working kowledge of algebra. Proposes that this would require students to have experiences with variables, equations, formulas, and graphs during previous years of study. (TW)

Presents teaching activities that are intended to be used to teach statistics to students in a high school mathematics program. Includes a worksheet of eight discussion questions on statistics, four activities on sampling bias, two experiments on sampling techniques, and a game known as "capture-recapture." (TW)

Suggests that by using elementary concepts and arithmetic methods it is possible to find many interesting aspects of mathematics. The activities could be used to allow students to make individual discoveries about mathematics. (PK)

The article provides an overview of a special topical issue on information processing as it relates to learning disabilities. Components of information processing theory are described, a model of information processing is presented, and subsequent articles in the special issue are summarized. (JW)

Recognizes two critical factors in cross-cultural mathematics teaching: the perceived utility of mathematics and the direct relationship of mathematics learning to language development. Reviews current literature and reports the results of their study of perceived utility of mathematics and technical language development in the Crow Indian…

This book provides practical guidance for parents, teachers, and other early years workers who want to give children a good start in mathematical development. Showing how competent children are as mathematicians from an early age, the book offers an overview of young children's mathematical behaviour at home and in early years settings. This book…

This paper presents some preliminary results of the longitudinal aspect of a research project on self-confidence and understanding in mathematics. We have collected a survey data of 3057 fifth-graders and seventh-graders and a follow-up data of ten classes (191 pupils) one and a half years later. The longitudinal data indicates that the learning…

Spontaneity has been linked to high quality learning experiences in mathematics (Csikszentmihalyi & Csikszentmihalyi, 1992; Williams, 2002).This paper shows how spontaneity can be identified by attending to the nature of social elements in the process of abstracting (Dreyfus, Hershkowitz, & Schwarz, 2001). This process is elaborated…